New Quadriphase Sequences families with Larger Linear Span and Size

Abstract: In this paper, new families of quadriphase sequences with larger linear span and size have been proposed and studied. In particular, a new family of quadriphase sequences of period $2^n-1$ for a positive integer $n=em$ with an even positive factor $m$ is presented, the cross-correlation function among these sequences has been explicitly calculated. Another new family of quadriphase sequences of period $2(2^n-1)$ for a positive integer $n=em$ with an even positive factor $m$ is also presented, a detailed analysis of the cross-correlation function of proposed sequences has also been presented.